Find a basis {p(x), g(x)} for the vector space {f(x) = P₂[x] | f'(3) = f(1)} where P₂ [x] is the vector space of polynomials in x with degree at most 2. You can enter polynomials using notation e.g., 5+3xx for 5 + 3x². p(x) = q(x) =

Advanced Engineering Mathematics
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Find a basis {p(x), g(x)} for the vector space {f(x) = P₂[x] | ƒ'(3) = f(1)} where P₂ [x] is the vector space of polynomials in x with degree at most 2.
You can enter polynomials using notation e.g., 5+3xx for 5 + 3x².
p(x) =
q(x) =
Transcribed Image Text:Find a basis {p(x), g(x)} for the vector space {f(x) = P₂[x] | ƒ'(3) = f(1)} where P₂ [x] is the vector space of polynomials in x with degree at most 2. You can enter polynomials using notation e.g., 5+3xx for 5 + 3x². p(x) = q(x) =
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